166520400 has 120 divisors (see below), whose sum is σ = 536929920. Its totient is φ = 44113920.

The previous prime is 166520399. The next prime is 166520413. The reversal of 166520400 is 4025661.

166520400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231241 + ... + 231959.

It is an arithmetic number, because the mean of its divisors is an integer number (4474416).

Almost surely, 2^166520400 is an apocalyptic number.

166520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268464960).

166520400 is an abundant number, since it is smaller than the sum of its proper divisors (370409520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166520400 is a wasteful number, since it uses less digits than its factorization.

166520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 166520400 is about 12904.2783602959. The cubic root of 166520400 is about 550.1601737346.

The spelling of 166520400 in words is "one hundred sixty-six million, five hundred twenty thousand, four hundred".